McGroarty scored twice and added two assists in AHL Wilkes-Barre/Scranton's 6-2 win over Providence on Sunday.
Bedard (shoulder) participated fully in Sunday's practice, per Charlie Roumeliotis of WGN Radio.
Solovyov was put on waivers by Pittsburgh on Friday, per Elliotte Friedman of Sportsnet.
Murashov was the first goalie to leave the ice Friday, Dan Kingerski of Pittsburgh Hockey Now reports, indicating he'll tend the twine on the road against Columbus.
Nazar will have a hearing Friday for an illegal check to the head against Bo Horvat.
Nazar scored a goal on one shot in Thursday's 4-1 loss to the Islanders.
Soderblom stopped 15 of 18 shots in Thursday's 4-1 loss to the Islanders. New York's fourth goal was an empty-netter.
Soderblom will protect the road goal versus the Islanders on Thursday, Andrew Gross of Newsday reports.
Kuzmenko (personal) was granted non-roster status Wednesday and won't participate in Pittsburgh's road trip, per Josh Yohe of The Athletic.
Rust (upper body) is considered a game-time decision ahead of Wednesday's matchup with Washington, Josh Yohe of The Athletic reports.
